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214589898 = 236532777
BaseRepresentation
bin11001100101001…
…10000111001010
3112221210022000000
430302212013022
5414413334043
633143223430
75213661345
oct1462460712
9487708000
10214589898
11100148626
125ba47b76
13355c5093
14206dd45c
1513c8c2d3
hexcca61ca

214589898 has 56 divisors (see below), whose sum is σ = 491889348. Its totient is φ = 70155072.

The previous prime is 214589873. The next prime is 214589917. The reversal of 214589898 is 898985412.

It can be written as a sum of positive squares in 2 ways, for example, as 213364449 + 1225449 = 14607^2 + 1107^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75886 + ... + 78662.

Almost surely, 2214589898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214589898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245944674).

214589898 is an abundant number, since it is smaller than the sum of its proper divisors (277299450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214589898 is an equidigital number, since it uses as much as digits as its factorization.

214589898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2835 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 214589898 is about 14648.8872614953. The cubic root of 214589898 is about 598.6914984472.

The spelling of 214589898 in words is "two hundred fourteen million, five hundred eighty-nine thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 729 954 1431 1458 2777 2862 4293 5554 8331 8586 12879 16662 24993 25758 38637 49986 74979 77274 147181 149958 224937 294362 441543 449874 674811 883086 1324629 1349622 2024433 2649258 3973887 4048866 7947774 11921661 23843322 35764983 71529966 107294949 214589898